The Quality Assurance Officer for DagWorths Supermarket is responsible for ensuring prepackaged

The Quality Assurance Officer for DagWorths Supermarket is responsible for ensuring prepackagedapples comply with their marked weights. They routinely inspect prepacked apples to determine if the

apples comply with their marked weights. They routinely inspect prepacked apples to determine if thecontents of the 5kg of apples weight at least the 5 kilograms advertised. A random sample of 90

contents of the 5kg of apples weight at least the 5 kilograms advertised. A random sample of 90bags, whose advertised weight claims to be 5kg, yielded the following statistics:

bags, whose advertised weight claims to be 5kg, yielded the following statistics:

X

=5.39

X=5.39

S=0.5

S=0.5

(a) Construct a 95% confidence interval estimate for the mean weight of a bag of pre-packaged apples.

(a) Construct a 95% confidence interval estimate for the mean weight of a bag of pre-packaged apples.Hint: clearly justify the choice of the sampling distribution of the sample mean. Include the steps of the

Hint: clearly justify the choice of the sampling distribution of the sample mean. Include the steps of theconfidence interval estimation and appropriate critical values.

confidence interval estimation and appropriate critical values.

(b) Interpret the estimated confidence interval obtained in (a).

(b) Interpret the estimated confidence interval obtained in (a).